summaryrefslogtreecommitdiff
path: root/gcc/ada/s-gerela.ads
blob: 4ce0e9bbcc8d3405ccc76ecdb65c2ae792d2850a (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
------------------------------------------------------------------------------
--                                                                          --
--                         GNAT RUN-TIME COMPONENTS                         --
--                                                                          --
--           S Y S T E M . G E N E R I C _ R E A L _ L A P A C K            --
--                                                                          --
--                                 S p e c                                  --
--                                                                          --
--          Copyright (C) 2006-2008, Free Software Foundation, Inc.         --
--                                                                          --
-- GNAT is free software;  you can  redistribute it  and/or modify it under --
-- terms of the  GNU General Public License as published  by the Free Soft- --
-- ware  Foundation;  either version 2,  or (at your option) any later ver- --
-- sion.  GNAT is distributed in the hope that it will be useful, but WITH- --
-- OUT ANY WARRANTY;  without even the  implied warranty of MERCHANTABILITY --
-- or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License --
-- for  more details.  You should have  received  a copy of the GNU General --
-- Public License  distributed with GNAT;  see file COPYING.  If not, write --
-- to  the  Free Software Foundation,  51  Franklin  Street,  Fifth  Floor, --
-- Boston, MA 02110-1301, USA.                                              --
--                                                                          --
-- As a special exception,  if other files  instantiate  generics from this --
-- unit, or you link  this unit with other files  to produce an executable, --
-- this  unit  does not  by itself cause  the resulting  executable  to  be --
-- covered  by the  GNU  General  Public  License.  This exception does not --
-- however invalidate  any other reasons why  the executable file  might be --
-- covered by the  GNU Public License.                                      --
--                                                                          --
-- GNAT was originally developed  by the GNAT team at  New York University. --
-- Extensive contributions were provided by Ada Core Technologies Inc.      --
--                                                                          --
------------------------------------------------------------------------------

--  Package comment required ???

generic
   type Real is digits <>;
   type Real_Vector is array (Integer range <>) of Real;
   type Real_Matrix is array (Integer range <>, Integer range <>) of Real;
package System.Generic_Real_LAPACK is
   pragma Pure;

   type Integer_Vector is array (Integer range <>) of Integer;

   Upper : aliased constant Character := 'U';
   Lower : aliased constant Character := 'L';

   --  LAPACK Computational Routines

   --  gerfs  Refines the solution of a system of linear equations with
   --         a general matrix and estimates its error
   --  getrf  Computes LU factorization of a general m-by-n matrix
   --  getri  Computes inverse of an LU-factored general matrix
   --         square matrix, with multiple right-hand sides
   --  getrs  Solves a system of linear equations with an LU-factored
   --         square matrix, with multiple right-hand sides
   --  orgtr  Generates the Float orthogonal matrix Q determined by sytrd
   --  steqr  Computes all eigenvalues and eigenvectors of a symmetric or
   --         Hermitian matrix reduced to tridiagonal form (QR algorithm)
   --  sterf  Computes all eigenvalues of a Float symmetric
   --         tridiagonal matrix using QR algorithm
   --  sytrd  Reduces a Float symmetric matrix to tridiagonal form

   procedure getrf
     (M     : Natural;
      N     : Natural;
      A     : in out Real_Matrix;
      Ld_A  : Positive;
      I_Piv : out Integer_Vector;
      Info  : access Integer);

   procedure getri
     (N      : Natural;
      A      : in out Real_Matrix;
      Ld_A   : Positive;
      I_Piv  : Integer_Vector;
      Work   : in out Real_Vector;
      L_Work : Integer;
      Info   : access Integer);

   procedure getrs
     (Trans  : access constant Character;
      N      : Natural;
      N_Rhs  : Natural;
      A      : Real_Matrix;
      Ld_A   : Positive;
      I_Piv  : Integer_Vector;
      B      : in out Real_Matrix;
      Ld_B   : Positive;
      Info   : access Integer);

   procedure orgtr
     (Uplo   : access constant Character;
      N      : Natural;
      A      : in out Real_Matrix;
      Ld_A   : Positive;
      Tau    : Real_Vector;
      Work   : out Real_Vector;
      L_Work : Integer;
      Info   : access Integer);

   procedure sterf
     (N      : Natural;
      D      : in out Real_Vector;
      E      : in out Real_Vector;
      Info   : access Integer);

   procedure steqr
     (Comp_Z : access constant Character;
      N      : Natural;
      D      : in out Real_Vector;
      E      : in out Real_Vector;
      Z      : in out Real_Matrix;
      Ld_Z   : Positive;
      Work   : out Real_Vector;
      Info   : access Integer);

   procedure sytrd
     (Uplo   : access constant Character;
      N      : Natural;
      A      : in out Real_Matrix;
      Ld_A   : Positive;
      D      : out Real_Vector;
      E      : out Real_Vector;
      Tau    : out Real_Vector;
      Work   : out Real_Vector;
      L_Work : Integer;
      Info   : access Integer);

end System.Generic_Real_LAPACK;